189257328 has 240 divisors, whose sum is σ = 637771680. Its totient is φ = 51757056.

The previous prime is 189257323. The next prime is 189257333. The reversal of 189257328 is 823752981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189257323) and next prime (189257333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189257323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604500 + ... + 604812.

It is an arithmetic number, because the mean of its divisors is an integer number (2657382).

Almost surely, 2^189257328 is an apocalyptic number.

189257328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189257328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318885840).

189257328 is an abundant number, since it is smaller than the sum of its proper divisors (448514352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189257328 is a wasteful number, since it uses less digits than its factorization.

189257328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 367 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 189257328 is about 13757.0828303096. The cubic root of 189257328 is about 574.1396868532.

The spelling of 189257328 in words is "one hundred eighty-nine million, two hundred fifty-seven thousand, three hundred twenty-eight".